The objectives of md control and cd control are to minimize the variation of the sheet quality measurements in machine direction and cross direction, respectively. Fundamentals of economic model predictive control ieee xplore. The book presents stateoftheart methods for the design of economic model predictive control systems for chemical processes. Economics optimizing control where an economic objective is employed in a model predictive control framework has the potential to drive the process to the economic optimum during operation based upon a process model and online measurements. Economic model predictive control of wastewater treatment. Contributions are invited on topics that include theoretical results and methodological advances towards the analysis and control of canonical complex process systems, as well as the application of stateoftheart control and optimization methodologies to new, industrially important complex process systems, which have not received much attention. Economic model predictive control for power plant process wseas. In the present work, a control lyapunovbarrier function clbfbased economic model predictive control empc system is designed to optimize process economics, and ensure stability and operational safety simultaneously based on a prediction model using an ensemble of. Supervisory predictive control and online setpoint optimization. Economic model predictive controllers optimize control actions to satisfy generic economic or performance cost functions. A framework for explicit model predictive control using.
Integrating dynamic economic optimization and model predictive control for optimal operation of nonlinear process systems matthew ellisa, panagiotis d. Integrating dynamic economic optimization and model. The chapter provides an overall description of optimization problem classes with a focus on problems with continuous variables. Integration of model predictive control and optimization of processes. Real time optimization kadam and marquardt, 2007, while in. First and foremost, the algorithms and highlevel software available for solv ing challenging nonlinear optimal control problems have advanced sig ni. In this work, we develop model predictive control mpc designs, which are capable of optimizing closedloop performance with respect to general economic considerations for a broad class of nonlinear process systems.
The economic control layer usually add the tracking term, resulting in the decrease in average pro. The regulatory control layer is assumed to be implemented using model predictive control mpc techniques. In the process control community this issue has been addressed using the label dynamic. Optimization in production operations optimal lean operations in manufacturing. Many advanced process control systems use some form of model predictive control or mpc for this layer. The subject of this paper is to discuss selected effective known and novel structures for advanced process control and optimization. A framework for performance monitoring of economic model predictive control empc systems is presented which includes the computation of an acceptable operating region, which is a welldefined region in statespace, for empc systems to operate a process in a timevarying fashion to optimize process economics while meeting input constraints and stabilizability requirements.
Economic model predictive control empc is a combined control strategy of real time optimization of timevarying process economics and a feedback model predictive controller mpc to track the timevarying setpoint. Singlelayer economic model predictive control for periodic. Mpc solves a qp based on a simplified dynamic model of the plant and. On economic optimality of model predictive control antonio. We apply enmpc in silico to an air separation process with an integrated liquefier and liquidassist operation. Economic model predictive control nonlinear systems process control process economics process optimization a b s t r a c t an overview of the recent results on economic model predictive control empc is presented and discussed addressing both closedloop stability and performance for nonlinear systems. Realtime economic optimization for a fermentation process. Economic model predictive control of chemical processes. The rto determines the economically optimal plant operating conditions setpoints and sends these setpoints to the second level, the advanced control system, which performs a dynamic optimization. A process model is used to predict the current values of the output variables. This level is usually referred to as realtime optimization rto. Economic model predictive control empc is one such control scheme that combines realtime dynamic economic process optimization with the feedback properties of model predictive control mpc by.
The role and techniques of model based predictive control mpc in a supervisory advanced control layer are first shortly discussed. Optimizing process economic performance using model predictive. It then describes where these problems arise in chemical engineering, along with illustrative examples. Economic optimization in model predictive control rishi amrit department of chemical and biological engineering university of wisconsinmadison 29th february, 2008 rishi amrit uwmadison economic optimization in mpc 29th february, 2008 1 37. Translating economic objectives to process control objectives process economics steady state economics loss of economic information due to two layer approach control objective. Optimal operation of a process by integrating dynamic economic optimization and model predictive control formulated with empirical model 37 sample time to bring process operation to the optimum point. In this work, we apply economic model predictive control empc to a wastewater treatment plant and compare its performance with two commonly used control methods. The goal of this paper is to give an overview of some recent developments in the. Recent developments in optimization based control matthias a. Optimizing economics of renewable energy using faulttolerant model predictive control paramedic funding agency science and engineering research board serb, government of india. Supervisory predictive control and online setpoint.
Optimizing process economics in model predictive control. Within process control, the economic optimization considerations of a plant. In this work, we focus on the computation load reduction in the optimization of economic model predictive control empc for nonlinear systems. Model predictive control utcinstitute for advanced. For the prediction, of course, the real plant process cannot be made to operate in the future time steps from the. Economic model predictive control empc is a predictive feedback control methodology that unifies economic optimization and control. The power plant economy is generally handled in a hierarchical mpc hmpc architecture, in which the upper layer realises the economic optimisation while the low. The residuals, the differences between the actual and predicted outputs, serve as the feedback signal to a. Economic model predictive control empc 12 is an optimizationbased control. Model predictive control mpc is an advanced process control strategy which is widely applied in many industries and it is often implemented in two levels. The first level performs a steadystate optimization. In this work, we focus on the twolayer integrated framework of empc for nonlinear processes. Optimizing process economics in model predictive control traditionally has been done using a twostep approach in which the economic objectives are first converted to steadystate operating points, and then the dynamic regulation is designed to track these setpoints.
The name economic mpc derives from applications in which the cost function to minimize is the operating cost of the system under control. Implementation of an economic mpc with robustly optimal steady. Optimizing process economic performance using model. This chapter considers the design and applications of model predictive control mpc for papermaking md and cd processes. First, we introduce the proposed twolayer integrated framework. Economic model predictive control of nonlinear process. Pdf lyapunov function for periodic economic optimizing. Economic model predictive control theory, formulations. The term economic is used to reflect that the objective function used for optimization includes an economic objective generally used in rto calculations. A framework for explicit model predictive control using adjustable robust optimization and economic optimization of an industrialscale sulfuric acid plant by manuel alejandro tejeda iglesias a thesis presented to the university of waterloo in fulfillment of the thesis requirement for the degree of master of applied science in chemical engineering. However, so far only few applications of such advanced process. It shows initial results of integrated process control and dynamic optimization techniques. There are different methods in optimization and realtime control, direct or hierarchical, to deal with economic problems in the process and other industries. Economic model predictive control for power plant process.
Article in journal of process control 248 august 2014 with 206 reads. Mayne, 2009 nob hill publishing predictive control with constraints, jan maciejowski, 2000 prentice hall. Optimizing process economics online using model predictive. Optimizing process economics and operational safety via. The current paradigm in essentially all industrial advanced process control systems is to decompose a plants economic optimization into two levels. We investigate the use of economic model predictive control empc in tracking a production schedule. This work focuses on this idea of integrating rto and mpc into one single optimization problem thus resulting in an approach referred in literature as. Specifically, eventbased triggering approach is adopted to significantly reduce the number of evaluations of the empc. Wastewater treatment is an integral component in the sustainable development of our society. When combining fluid separation and multiplereaction systems, e. Optimizing economics of renewable energy using fault. It uses modern, stateoftheart technology to provide. Control engineering practice integrating dynamic economic. Optimal process operation by using economics optimizing.
Optimizing process economics in model predictive control traditionally has been done using a twostep approach in which the economic objectives are first converted to steadystate operating points. The articles 21, 31, 10 provides a clear overview of practical approaches to such economic problems in the process industry. The structural design of integrated online process optimization and regulatory control systems based on an economic analysis of different structures is addressed. A block diagram of a model predictive control system is shown in fig. The best possible is optimal regulatory process control, and this. Fuzzy economic model predictive control for thermal power. Constrained model predictive control with economic.
Optimal control and operation is critical to the efficiency and economics of a wastewater treatment plant. Economics optimizing control where an economic objective is employed in a model predictive control framework has the potential to drive the process to the. In addition to being mathematically rigorous, these methods accommodate key practical issues, for example, direct optimization of process economics, timevarying economic cost functions and computational efficiency. Performance monitoring of economic model predictive. Empc uses a stage cost that reects the process system economics. Dynamic performance optimization of a pilotscale reactive. Microgrids are subsystems of the distribution grid which comprises generation capacities, storage devices and flexible loads, operating as a single co. Optimal operation of a process by integrating dynamic.
Tushar jain scee, iit mandi, hp, india summary today, renewable energy sources are considered on the priority level of energy policies for. Abstract in this work, we propose a conceptual framework for integrating dynamic economic optimization and model predictive control mpc for optimal operation of nonlinear process systems. Specifically, in the proposed designs, the economic mpc optimizes a cost function, which is related directly to desired economic considerations and is not necessarily dependent on. The mpc uses a dynamic model and regulates the plant dynamic behavior to meet the setpoints determined by the rto. The upper layer, consisting of an economic mpc empc system that receives state feedback and timedependent economic. Prediction of the future values of the process outputs and the states from the current time is performed. Lyapunov function for periodic economic optimizing model predictive control.